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Finding the Fourth Proportional to 11,149.14, 15,385.50 and 6,113.10

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Solution

The fourth proportional to 11,149.14, 15,385.50 and 6,113.10 is: 8,435.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149.14 : 15,385.50 = 6,113.10 : x
  2. Step 2: Convert to fraction form
    11,149.14/15,385.50 = 6,113.10/x
  3. Step 3: Cross multiply
    11,149.14x = 15,385.50 × 6,113.10
  4. Step 4: Simplify right side
    11,149.14x = 94,053,100.05
  5. Step 5: Solve for x
    x = 94,053,100.05/11,149.14
  6. Step 6: Final answer
    x = 8,435.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.